Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:A1L-D
Session:
Number:A1L-D2
New Idea of the Pseudo-Inverse Maps in Optimal Pre-Correction of Nonlinear Systems as the Result of Modeling and Optimal Past-Correction
Grzegorz Ciesielski, Paulina Sobanska,
pp.59-62
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
This paper presents the new idea of the pseudo-inverse maps applied to the optimal pre-corrections of nonlinear systems. This concept is a result of search for optimal models and optimal past-correctors of nonlinear systems from perspective of the Functional Theory of Nonlinear Systems which is discussed in this article. Considered systems are multidimensional, all of input and output signals are real or complex valued and their sets are finally equipped with the structure of the Hilbert spaces. All maps used in this paper are functions for the static systems, convolutions for the linear time-invariant systems, and nonlinear operators for the nonlinear systems. It is shown, that the nonlinear system past- and pre-corrections can be reduced to the modeling tasks of some systems which can be reduced further to the generalized least mean square (LMS) approximations.